TY - JOUR

T1 - Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types

AU - Wensley, Christopher D.

AU - Brown, Ronald

PY - 1996

Y1 - 1996

N2 - We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain homotopy pushouts of maps of classifying spaces of discrete groups.

AB - We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain homotopy pushouts of maps of classifying spaces of discrete groups.

KW - crossed modules, homotopy 2-types, generalized Van Kampen theorem, crossed resolution, Postnikov invariant, classifying spaces of discrete groups

M3 - Article

VL - 2

SP - 3

EP - 16

JO - Theory and application of categories

JF - Theory and application of categories

SN - 1201-561X

ER -